Best tool to search and to switch to firefox tab directly from either desktop environment or shell. No need to switch to firefox windows before.
In my case I just configured global shortcut to pop up swell application (see links from github). So by pressing keys I can directly search needed tab and firefox window will show me it immediately.
P.S.: yes, you should read instruction carefully and setup your environment first.

Not very easy to have make it working(not the developer's fault), but this is the only solution I found and perfectly provided what I needed. Thanks a lot for your efforts!